Unbounded weighted conditional type operators on L^p spaces
Functional Analysis
2015-12-25 v1
Abstract
In this paper we consider unbounded weighted conditional type operators on the space Lp, we give some conditions under which they are densely defined and we obtain a dense subset of the domain. Also, we get that a WCT operator is continuous if and only of it is every where defined. A description of polar decomposition, spectrum and spectral radius in this context are provided. Finally, we investigate hyperexpansive WCT operators on the Hilbert space L2. As a consequence hyperexpansive multiplication operators are investigated.
Cite
@article{arxiv.1512.07830,
title = {Unbounded weighted conditional type operators on L^p spaces},
author = {Yousef Estaremi},
journal= {arXiv preprint arXiv:1512.07830},
year = {2015}
}
Comments
14 pages